Simplify 10/(6+ square root of 6)

Math
106+6
Multiply 106+6 by 6-66-6.
106+6⋅6-66-6
Multiply 106+6 and 6-66-6.
10(6-6)(6+6)(6-6)
Expand the denominator using the FOIL method.
10(6-6)36-66+6⋅6-62
Simplify.
10(6-6)30
Cancel the common factors.
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Factor 10 out of 30.
10(6-6)10⋅3
Cancel the common factor.
10(6-6)10⋅3
Rewrite the expression.
6-63
6-63
The result can be shown in multiple forms.
Exact Form:
6-63
Decimal Form:
1.18350341…
Simplify 10/(6+ square root of 6)

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